5+(2x-3)=3(3x+10)

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Solution for 5+(2x-3)=3(3x+10) equation:


Simplifying
5 + (2x + -3) = 3(3x + 10)

Reorder the terms:
5 + (-3 + 2x) = 3(3x + 10)

Remove parenthesis around (-3 + 2x)
5 + -3 + 2x = 3(3x + 10)

Combine like terms: 5 + -3 = 2
2 + 2x = 3(3x + 10)

Reorder the terms:
2 + 2x = 3(10 + 3x)
2 + 2x = (10 * 3 + 3x * 3)
2 + 2x = (30 + 9x)

Solving
2 + 2x = 30 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
2 + 2x + -9x = 30 + 9x + -9x

Combine like terms: 2x + -9x = -7x
2 + -7x = 30 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -7x = 30 + 0
2 + -7x = 30

Add '-2' to each side of the equation.
2 + -2 + -7x = 30 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 30 + -2
-7x = 30 + -2

Combine like terms: 30 + -2 = 28
-7x = 28

Divide each side by '-7'.
x = -4

Simplifying
x = -4

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